Electrical engineering

Physics

Laplace–Stieltjes transform

Electrode

Diagram

Fourier analysis

Mathematics

Transfer function

Bode plot

Laplace transform

Fourier transform

Two-sided Laplace transform

Statistics

Engineering

Mathematical analysis

Laplace transform applied to differential equations

Nyquist plot

Mellin transform

Inverse Laplace transform

Quantum mechanics

Dielectric spectroscopy

Applied mathematics

Electrochemistry

Fractional Fourier transform

Alexandria Engineering Journal

In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and Nichols plot are obtained based on the Laplace transform. The output of the analysis depends only on the results obtained from Laplace transform. However, one weakness of Laplace transform is that the Laplace transform of even function is odd while the Laplace transform of an old function is even which is lack of conservation of properties. On the other hand there exist a similar integral transform known as Sumudu transform has the ability to conserve the properties of the function from real space to complex space. The question that arises in the work, is the following: Can we apply the Sumudu transform to construct new transfer functions that will lead to new Bode, Nichols and Nyquist plots? this question is answered in this work.

Can transfer function and Bode diagram be obtained from Sumudu transform